I don't know to which extent did the F8F draw ideas from the Fw190, but let me tell you one thing.
In Mid-1942 the Fw190 was, without challenge, the best fighter in the world.
If you get a hand on a captured plane wich is causing havoc between your planes and your allies' planes, then you'd be VERY stupid not to draw and copy its best features into your own designs.
Its a fact that the Bearcat designers had taken a good look at the captured 190s. Same did the russians, british and even japanese.
Someone said there the 190 was not ground breaking in anything. Well, you must take a second look to that affirmation, the Fw190 WAS ground breaking it its engine installation (it was deemed highly difficult to mount such a big radial engine into a such a small and narrow airframe as the 190's, yet Tank designed a magnific,compact, installation), the engine itself (Kommandogėrat anyone?), the electrical systems (first all-electrical fighter), and its rollrate (best rolling fighter in the war).
I will tell you just one thing...the RAF copied the engine installation of the Fw190 in the Sea Fury, the Soviets did the same with the La5/F/FN/La7 family (which emerged after the study of a captured 190 by the russians), even the japanese copied the 190's installation when putting the new radial engine into the Ki61 airframe to convert it into what was called Ki100.
I don't know other things, but the bearcat also copied that installation. I don't know where is the problem in admitting it, damnit...the 190 was a damned fine plane with many superb features. One would have to be VERY stupid not to copy (when possible) the good features used by the enemy in their own planes!.